Examples of Decile
For example, Suppose we have a data set consisting of the following numbers representing the scores of students in a math test: 65, 72, 84, 57, 68, 75, 80, 92, 88, 78, 60, 70, 85, 95, 62, 73, 79, 83, 90, 77.
Step 1: Arrange the data in increasing order. This gives us: 57, 60, 62, 65, 68, 70, 72, 73, 75, 77, 78, 79, 80, 83, 84, 85, 88, 90, 92, 95.
Step 2: Identify the total number of points. Here, n=20.
Step 3: Apply the decile formula to calculate the position of the required data point.
D(1) = (n+1) / 10 = 21/10 = 2.1
This implies the value of the 2.1st data point has to be determined. This will lie between the scores in the 2nd and 3rd positions. In other words, the 2.1st data point is 0.1 of the way between the scores 60 and 62.
Step 4: The value of the decile can be determined as lower score+(distance)(higher score−lower score). This is given as 60 + 0.1 × (62−60)
= 60 + 0.1 × 2
= 60 + 0.2
= 60.2
Step 5: Apply steps 3 and 4 to determine the rest of the deciles.
D(2) = 2 × (n+1) / 10 = 4.2th data between digits 4 and 5.
Thus, 62 + 0.2 × (65-62)
= 62 + 0.2 × 3 = 62 + 0.6 = 62.6
Decile – Definition, Formula, Rank, Examples
Decile is a statistical measure that divides a dataset into ten equal parts, and each part contains 10% of the data. It is different from percentage as in percentage there are 100 parts. In this article, we will learn in detail about what is decile, the formulas of decile (grouped data and ungrouped data)
Table of Content
- What is Decile?
- Definition of Decile
- Formula of Decile
- Decile Formula for Ungrouped Data
- Decile Formula for Grouped Data
- Decile Class Rank
- How to Calculate Decile?
- Examples of Decile
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